# nLab σ-meson

Contents

### Context

#### Fields and quanta

field (physics)

standard model of particle physics

force field gauge bosons

scalar bosons

flavors of fundamental fermions in the
standard model of particle physics:
generation of fermions1st generation2nd generation3d generation
quarks ($q$)
up-typeup quark ($u$)charm quark ($c$)top quark ($t$)
down-typedown quark ($d$)strange quark ($s$)bottom quark ($b$)
leptons
chargedelectronmuontauon
neutralelectron neutrinomuon neutrinotau neutrino
bound states:
mesonspion ($u d$)
rho-meson ($u d$)
omega-meson ($u d$)
kaon ($q_{u/d} s$)
eta-meson (u u + d d + s s)
B-meson ($q b$)
baryonsproton $(u u d)$
neutron $(u d d)$

(also: antiparticles)

effective particles

hadron (bound states of the above quarks)

solitons

minimally extended supersymmetric standard model

superpartners

bosinos:

dark matter candidates

Exotica

auxiliary fields

# Contents

## Idea

The sigma-meson, now also called the $f_0(500)$-resonance, is the lightest Lorentz-scalar and isospin-scalar meson.

Together with the omega-meson the sigma is responsible for most of the long-range interaction between baryons, exhibiting the residual strong nuclear force between them (as modeled by Walecka model and quantum hadrodynamics).

## References

### General

Original articles:

Review:

• J. R. Pelaez, From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance, Physics Reports 658 (2016) 1 (arXiv:1510.00653)

See also:

• M. Albaladejo, J.A. Oller, On the size of the sigma meson and its nature, Phys. Rev. D 86, 034003 – Published 3 August 2012 (arXiv:1205.6606, doi:10.1103/PhysRevD.86.034003)

• S. S. Afonin, T. D. Solomko, The sigma meson from QCD sum rules for large-$N_c$ Regge spectra, Eur. Phys. J. C 76, 678 (2016) (arXiv:1608.08131)

• S. S. Afonin, T. D. Solomko, The linear radial spectrum of scalar mesons within the QCD sum rules in the planar limit, Eur. Phys. J. C 76, 678 (2016) (arXiv:1608.08131)

• Physics.SE discussion, What the heck is the sigma (f0) 600?

Inclusion of the sigma-meson into the Skyrme model for baryons:

• Thomas D. Cohen, Explicit $\sigma$ meson, topology, and the large-$N$ limit of the Skyrmion, Phys. Rev. D 37 (1988) (doi:10.1103/PhysRevD.37.3344)

### In holographic QCD

Discussion in holographic QCD:

On sigma-mesons and omega-mesons mediating baryon interaction, discussed in holographic QCD via D3-D7 brane intersections:

and discussed in the Witten-Sakai-Sugimoto model on D4-D8 brane intersections:

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Last revised on March 25, 2020 at 14:59:22. See the history of this page for a list of all contributions to it.